Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement

vazelinahS

vazelinahS

Answered question

2021-05-08

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.
03sin(x2)dx=05sin(x2)dx+53sin(x2)dx

Answer & Explanation

sovienesY

sovienesY

Skilled2021-05-09Added 89 answers

Step 1
True or False:
Given:
03sin(x2)dx=05sin(x2)dx+53sin(x2)dx
Step 2
LHS=03sin(x2)dx
splitting into two integrals:
LHS=05sin(x2)dx35sin(x2)dx
LHS=05sin(x2)dx+53sin(x2)dx
LHS=RHS
Step 3
Since RHS is equal to LHS, the given statement is TRUE

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